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Finding the Fourth Proportional to 13,878, 20,820.60 and 4,993.02

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Solution

The fourth proportional to 13,878, 20,820.60 and 4,993.02 is: 7,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878 : 20,820.60 = 4,993.02 : x
  2. Step 2: Convert to fraction form
    13,878/20,820.60 = 4,993.02/x
  3. Step 3: Cross multiply
    13,878x = 20,820.60 × 4,993.02
  4. Step 4: Simplify right side
    13,878x = 103,957,672.21
  5. Step 5: Solve for x
    x = 103,957,672.21/13,878
  6. Step 6: Final answer
    x = 7,490.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.